Abstract: A method for parameterizing a subdivision mesh in a computer system, the subdivision mesh comprising at least two faces, at least two faces sharing an edge, includes assigning a unique index for each of the at least two faces, assigning, for each of the at least two faces, a first (u) and a second (v) parameter to uniquely parameterize each point on a respective face, each respective u and v parameters for a respective face also being assigned the unique index for that respective face; and at a vertex shared by two faces sharing an edge, setting a first bound for each of the u and v parameters for each of the two faces, and for each of the same two faces, at a vertex not shared by the two faces, setting a second bound for each of the u and v parameters.